1.

A double inclined plane as shown in th figure has fixed horizontal base and smooth faces with the same angle of inclination of 30^@ . A block of mass 300 g is on one face and is connected by a cord passing over a fictionless pulley to a second blocks of mass 200 g kept on another face. The acceleration with which the system of the blocks moves is .... % of acceleration due gravity.

Answer»

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Solution :
From free body diagram
`T-m_1 G SIN THETA =m_1 a……..(i)`
and `m_2 g sin theta - T =m_(2)a…….(ii)`
Addings EQS (i) and (ii), we get
`(m_2-m_1)g sin theta = (m_1 + m_2)a`
`rArra=((300-200)g sin 30^(@))/(3000+200)`
`rArra=1/10 g`
`thereforea=10% of g `


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